THE EFIMOV EFFECT OF 3-BODY SCHRODINGER-OPERATORS

被引：60
作者：
TAMURA, H
机构：
[1] Department of Mathematics, Ibaraki University, Mito, Ibaraki
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 95卷 / 02期
关键词：
D O I：
10.1016/0022-1236(91)90038-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The author studies the Efimov effect of three-body Schrödinger operators. By use of the variational method, the effect is proved under the assumptions that pair potentials fall off with order O(|x|-ρ{variant}), ρ{variant} > 2, at infinity and that all three two-body subsystems have a zero resonance energy. © 1991.
引用
收藏
页码：433 / 459
页数：27
相关论文
共 8 条
[1]   ENERGY LEVELS ARISING FROM RESONANT 2-BODY FORCES IN A 3-BODY SYSTEM [J].
EFIMOV, V .
PHYSICS LETTERS B, 1970, B 33 (08) :563-&
[2]   SPECTRAL PROPERTIES OF SCHRODINGER OPERATORS AND TIME-DECAY OF THE WAVE-FUNCTIONS [J].
JENSEN, A ;
KATO, T .
DUKE MATHEMATICAL JOURNAL, 1979, 46 (03) :583-611
[3]   CORRECTIONS TO THE CLASSICAL BEHAVIOR OF THE NUMBER OF BOUND-STATES OF SCHRODINGER-OPERATORS [J].
KIRSCH, W ;
SIMON, B .
ANNALS OF PHYSICS, 1988, 183 (01) :122-130
[4]  
KLAUS M, 1979, ANN I H POINCARE A, V30, P83
[5]   ASYMPTOTIC EXPANSIONS IN TIME FOR SOLUTIONS OF SCHRODINGER-TYPE EQUATIONS [J].
MURATA, M .
JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 49 (01) :10-56
[6]  
Newton R. G., 1982, SCATTERING THEORY WA
[7]   NUMBER OF BOUND-STATES OF 3-BODY SYSTEMS AND EFIMOV EFFECT [J].
OVCHINNIKOV, YN ;
SIGAL, IM .
ANNALS OF PHYSICS, 1979, 123 (02) :274-295
[8]  
YAFAEV DR, 1974, MATH USSR SB, V23, P535
1